Honors PreCalculus Quiz 10.8-10.9 Name__________________________________
_
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question
.
Graph the system of inequalities. Indicate the solution by shading
.
1
)
2x + 3
y
≤ 6
x - y ≤ 3
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
Write a system of linear inequalities that has the given graph
.
2
)
x
-10-8-6-4-2 246810
y
10
8
6
4
2
-2
-4
-6
-8
-10
x
-10-8-6-4-2 246810
y
10
8
6
4
2
-2
-4
-6
-8
-10
Solve
3
)
The liquid portion of a diet is to provide at least 300 calories, 36 units of vitamin A, and 90 units of vitamin C
daily. A cup of dietary drink X provides 60 calories, 12 units of vitamin A, and 10 units of vitamin C. A cup of
dietary drink Y provides 60 calories, 6 units of vitamin A, and 30 units of vitamin C. Set up a system of linear
inequalities that describes the minimum daily requirements for calories and vitamins. Let x = number of cups
of dietary drink X, and y = number of cups of dietary drink Y. Write all the constraints as a system of linear
inequalities. How many cups of dietary drink X and Y is needed to minimize your cost if drink X costs $1 and
drink Y costs $1.50?
1
